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Can 2 raise to the power something be equal to 0? If yes then at what value?

Note by Prabhav Bansal
2 years, 10 months ago

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Can we say 0.0000000000000000000000000000000000000000000001 equal to zero.

Prabhav Bansal - 2 years, 10 months ago

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This would only approach 1. Any negative power would be less than 1.

So technically, \( 2^{-\infty} = 0\). But then again, \(-\infty\) isn't a number.

Vishnu Bhagyanath - 2 years, 10 months ago

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But still if we say that 2^-100000000000 it is zero.

Prabhav Bansal - 2 years, 10 months ago

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@Prabhav Bansal No, it's still not absolute zero.

Vishnu Bhagyanath - 2 years, 10 months ago

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@Vishnu Bhagyanath So, finally we conclude that anything raise to the power any integer is not zero.

Prabhav Bansal - 2 years, 10 months ago

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@Prabhav Bansal 0 raised to the power of any positive real is 0.

You need to qualify what "anything" refers to.

Calvin Lin Staff - 2 years, 10 months ago

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No, that's the law of logarithm.

Kenneth Gravamen - 2 years, 10 months ago

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No.

Micah Wood - 2 years, 10 months ago

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No. Because 0 is not a number.

Randy Strang - 2 years, 10 months ago

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Because 0 is not a number.

Are you sure? xP

I'm guessing you mean infinity?

Siddhartha Srivastava - 2 years, 10 months ago

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